LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 418/541, 167/230

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 418/541, 167/230 i.e 1/124430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 418/541, 167/230.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 418/541,167/230?

Given fractions are 418/541,167/230

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 418/541,167/230, numerators are 418,167

Denominators are 541,230

The GCF of 418,167 is 1 .

LCM of 541,230 is 124430.

The greatest common factor of 418/541,167/230 = [GCF of 418,167]/[LCM of 541,230]= 1/124430

Therefore, the GCF of 418/541,167/230 is 1/124430.

Greatest Common Factor of 418,167

To find the highest common factor of 418,167, we have to find the factors of both numbers and list the highest common factor.

The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418

The factors of 167 are 1, 167

The HCF of 418,167 is 1.

Lets's calculate GCF of 418,167

Greatest Common Factor (GCF) of 418,167 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 418,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,167 By Matching Biggest Common Factor Method

Now, list down the factors of 418

:

1,2,11,19,22,38,209,418

Now, list down the factors of 167

:

1,167

Greatest Common Factor

We found the factors 418,167 . The biggest common factor number is the GCF number.
So the greatest common factor 418,167 is 1.

Lets's calculate LCM of 541,230

Lowest Common Multiple of 541,230 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 124430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124430

Therefore, the GCF of Fractions 418/541,167/230 is 1/124430

Least Common Multiple of 541,230 with GCF Formula

Least Common Multiple of 541,230 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 541,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,230) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(541,230) x common factors =1 x 1 = 1

LCM(541,230) = ( 541 × 230 ) / 1

LCM(541,230) = 124430 / 1

LCM(541,230) = 124430


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 418/541, 167/230

1. What is the HCF of 418,167?

The HCF of 418,167 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 418/541, 167/230?

Answer: GCF of Numerators as per given numbers 418/541, 167/230 is

GCF of Numerators i.e. for 418,167 is 1

LCM of denominators i.e. for 541,230 is 124430.

Thus, GCF of Fractions is 1/124430.Finally, GCF of Fractions for 418/541, 167/230 is 1/124430.